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Finding the Fourth Proportional to 13,173.84, 19,762.92 and 5,380.56

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Solution

The fourth proportional to 13,173.84, 19,762.92 and 5,380.56 is: 8,071.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.84 : 19,762.92 = 5,380.56 : x
  2. Step 2: Convert to fraction form
    13,173.84/19,762.92 = 5,380.56/x
  3. Step 3: Cross multiply
    13,173.84x = 19,762.92 × 5,380.56
  4. Step 4: Simplify right side
    13,173.84x = 106,335,576.84
  5. Step 5: Solve for x
    x = 106,335,576.84/13,173.84
  6. Step 6: Final answer
    x = 8,071.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.